hey welcome on our brand new forum.
Vignetting happens in two different ways, optical vignetting which can be seen by dark corners, and mechanical vignetting which happens by reducing amount of transmission. In the last case (mechanical vignetting) that would mean that the aivascope whit its 38mm rear would cover a part of the bigger front element of the batis. If you open a lens fully (aperture) it starts to gather light from the outter edges of the glass which are now obstructed by the aivascope, and probably you will end up with f2.6 or something instead of f2.0 Which is no big deal, because most anamorphic lenses start to struggle with tiny dof.. Lot of people who make diy constructions will produly mention their f stops etc, but truth is that most of the time due to mismatch of rear and front elements that its more likely that its one or two stops less, which both will effect dof and t stop transmission.
About the threads. with the new system of the aivascope which has a LWS rod support we prefer not to screw lenses on the aivascope, but simply slide the Aivascope to the taking lens on the rods, Basically these photo lenses were never designed to take such a big load/torque, and chances are high you will bend (overtime) your taking lens and turn it into a tilt shift lens.
In order to work with the lws system you need 15 mm rods, and a standardized rod system which is suited for your camera and matches the arri lws standard (85mm center rod to center lens), many rod systems exist for the sony as7 that willl do.
Vignetting in terms of dark corners, is cause by either the focal length in relation to the sensor format, or the distance from the taking lens to the aivascope. In orderr to get the widest view one need to know the maximum, of whats possible which wil be 40-45 on your sony a7s and make sure you use lenses that are somewhat pancakes, and reduce the distance between taking lens and aivascope, which can be done in a great manner by using the sliding rods system.
I haven’t used the zeiss batis, but i think it will do fine, but will just loose a bit of transmission, and the good news is that a lens is the best at its center, so best is to gather light from the center instead of sides. But in order to find out one need to do tests.
And yes most prefer small taking lenses, not only for their match with th rear element of the aivascope but also the size of the whole optical path which can sometimes be a bit ridiculous, and making you rig unhandable.
Hope this helps, and if you have any questions please dont hesitate, also check the forum for other aivascope posts.. there are a few.